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Finding the Third Proportional to 217,054 and 465,258

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Solution

The third proportional to 217,054 and 465,258 is: 997,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,054 : 465,258 = 465,258 : x
  2. Step 2: Convert to fraction form
    217,054/465,258 = 465,258/x
  3. Step 3: Cross multiply
    217,054x = 465,258 × 465,258
  4. Step 4: Simplify right side
    217,054x = 216,465,006,564
  5. Step 5: Solve for x
    x = 216,465,006,564/217,054
  6. Step 6: Final answer
    x = 997,286.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.